Algebraic structures for dominance-based rough set approach

Salvatore Greco; B. Matarazzo; R. Slowinski

doi:10.1007/978-3-540-79721-0_37

Algebraic structures for dominance-based rough set approach

Salvatore Greco, B. Matarazzo, R. Slowinski

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

Abstract

Dominance-based Rough Set Approach (DRSA) has been proposed to generalize classical rough set approach when monotonicity between memberships to considered concepts has to be taken into account. This is typical for data describing various phenomena, e.g., "the larger the mass and the smaller the distance, the larger the gravity". These monotonicity relationships are fundamental in rough set approach to multiple criteria decision analysis. In this paper, we propose an algebraic structure for DRSA.

Original language	English
Title of host publication	Rough sets and knowledge technology: proceedings of the third international conference
Editors	G. Wang, T. Li, J. Grzymala-Busse, D. Miao, A. Skowron, Y. Yao
Place of Publication	Berlin
Publisher	Springer
Pages	252-259
Number of pages	8
Volume	5009
Edition	5009
ISBN (Print)	9783540797203
DOIs	https://doi.org/10.1007/978-3-540-79721-0_37
Publication status	Published - 2008

Publication series

Name	Lecture notes in computer science
Publisher	Springer
Number	5009

Access to Document

10.1007/978-3-540-79721-0_37

http://link.springer.com/chapter/10.1007%2F978-3-540-79721-0_37

Cite this

Greco, S., Matarazzo, B., & Slowinski, R. (2008). Algebraic structures for dominance-based rough set approach. In G. Wang, T. Li, J. Grzymala-Busse, D. Miao, A. Skowron, & Y. Yao (Eds.), Rough sets and knowledge technology: proceedings of the third international conference (5009 ed., Vol. 5009, pp. 252-259). (Lecture notes in computer science; No. 5009). Springer. https://doi.org/10.1007/978-3-540-79721-0_37

Greco, Salvatore ; Matarazzo, B. ; Slowinski, R. / Algebraic structures for dominance-based rough set approach. Rough sets and knowledge technology: proceedings of the third international conference. editor / G. Wang ; T. Li ; J. Grzymala-Busse ; D. Miao ; A. Skowron ; Y. Yao. Vol. 5009 5009. ed. Berlin : Springer, 2008. pp. 252-259 (Lecture notes in computer science; 5009).

@inbook{021b39a833fd4c9ba76eacdb90d51e44,

title = "Algebraic structures for dominance-based rough set approach",

abstract = "Dominance-based Rough Set Approach (DRSA) has been proposed to generalize classical rough set approach when monotonicity between memberships to considered concepts has to be taken into account. This is typical for data describing various phenomena, e.g., {"}the larger the mass and the smaller the distance, the larger the gravity{"}. These monotonicity relationships are fundamental in rough set approach to multiple criteria decision analysis. In this paper, we propose an algebraic structure for DRSA.",

author = "Salvatore Greco and B. Matarazzo and R. Slowinski",

year = "2008",

doi = "10.1007/978-3-540-79721-0_37",

language = "English",

isbn = "9783540797203",

volume = "5009",

series = "Lecture notes in computer science",

publisher = "Springer",

number = "5009",

pages = "252--259",

editor = "G. Wang and T. Li and J. Grzymala-Busse and D. Miao and A. Skowron and Y. Yao",

booktitle = "Rough sets and knowledge technology: proceedings of the third international conference",

edition = "5009",

}

Greco, S, Matarazzo, B & Slowinski, R 2008, Algebraic structures for dominance-based rough set approach. in G Wang, T Li, J Grzymala-Busse, D Miao, A Skowron & Y Yao (eds), Rough sets and knowledge technology: proceedings of the third international conference. 5009 edn, vol. 5009, Lecture notes in computer science, no. 5009, Springer, Berlin, pp. 252-259. https://doi.org/10.1007/978-3-540-79721-0_37

Algebraic structures for dominance-based rough set approach. / Greco, Salvatore; Matarazzo, B.; Slowinski, R.
Rough sets and knowledge technology: proceedings of the third international conference. ed. / G. Wang; T. Li; J. Grzymala-Busse; D. Miao; A. Skowron; Y. Yao. Vol. 5009 5009. ed. Berlin: Springer, 2008. p. 252-259 (Lecture notes in computer science; No. 5009).

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

TY - CHAP

T1 - Algebraic structures for dominance-based rough set approach

AU - Greco, Salvatore

AU - Matarazzo, B.

AU - Slowinski, R.

PY - 2008

Y1 - 2008

N2 - Dominance-based Rough Set Approach (DRSA) has been proposed to generalize classical rough set approach when monotonicity between memberships to considered concepts has to be taken into account. This is typical for data describing various phenomena, e.g., "the larger the mass and the smaller the distance, the larger the gravity". These monotonicity relationships are fundamental in rough set approach to multiple criteria decision analysis. In this paper, we propose an algebraic structure for DRSA.

AB - Dominance-based Rough Set Approach (DRSA) has been proposed to generalize classical rough set approach when monotonicity between memberships to considered concepts has to be taken into account. This is typical for data describing various phenomena, e.g., "the larger the mass and the smaller the distance, the larger the gravity". These monotonicity relationships are fundamental in rough set approach to multiple criteria decision analysis. In this paper, we propose an algebraic structure for DRSA.

U2 - 10.1007/978-3-540-79721-0_37

DO - 10.1007/978-3-540-79721-0_37

M3 - Chapter (peer-reviewed)

SN - 9783540797203

VL - 5009

T3 - Lecture notes in computer science

SP - 252

EP - 259

BT - Rough sets and knowledge technology: proceedings of the third international conference

A2 - Wang, G.

A2 - Li, T.

A2 - Grzymala-Busse, J.

A2 - Miao, D.

A2 - Skowron, A.

A2 - Yao, Y.

PB - Springer

CY - Berlin

ER -

Greco S, Matarazzo B, Slowinski R. Algebraic structures for dominance-based rough set approach. In Wang G, Li T, Grzymala-Busse J, Miao D, Skowron A, Yao Y, editors, Rough sets and knowledge technology: proceedings of the third international conference. 5009 ed. Vol. 5009. Berlin: Springer. 2008. p. 252-259. (Lecture notes in computer science; 5009). doi: 10.1007/978-3-540-79721-0_37

Algebraic structures for dominance-based rough set approach

Abstract

Publication series

Access to Document

Fingerprint

Cite this